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<div class="subTitle">org.apache.commons.math3.analysis.interpolation</div>
<h2 title="Class HermiteInterpolator" class="title">Class HermiteInterpolator</h2>
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<li>org.apache.commons.math3.analysis.interpolation.HermiteInterpolator</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableVectorFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation">UnivariateDifferentiableVectorFunction</a>, <a href="../../../../../../org/apache/commons/math3/analysis/UnivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateVectorFunction</a></dd>
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<pre>public class <span class="strong">HermiteInterpolator</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableVectorFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation">UnivariateDifferentiableVectorFunction</a></pre>
<div class="block">Polynomial interpolator using both sample values and sample derivatives.
 <p>
 The interpolation polynomials match all sample points, including both values
 and provided derivatives. There is one polynomial for each component of
 the values vector. All polynomials have the same degree. The degree of the
 polynomials depends on the number of points and number of derivatives at each
 point. For example the interpolation polynomials for n sample points without
 any derivatives all have degree n-1. The interpolation polynomials for n
 sample points with the two extreme points having value and first derivative
 and the remaining points having value only all have degree n+1. The
 interpolation polynomial for n sample points with value, first and second
 derivative for all points all have degree 3n-1.
 </p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd></dl>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#HermiteInterpolator()">HermiteInterpolator</a></strong>()</code>
<div class="block">Create an empty interpolator.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#addSamplePoint(double,%20double[]...)">addSamplePoint</a></strong>(double&nbsp;x,
              double[]...&nbsp;value)</code>
<div class="block">Add a sample point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunction</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#getPolynomials()">getPolynomials</a></strong>()</code>
<div class="block">Compute the interpolation polynomials.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#value(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">value</a></strong>(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)</code>
<div class="block">Interpolate value at a specified abscissa.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#value(double)">value</a></strong>(double&nbsp;x)</code>
<div class="block">Interpolate value at a specified abscissa.</div>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h4>HermiteInterpolator</h4>
<pre>public&nbsp;HermiteInterpolator()</pre>
<div class="block">Create an empty interpolator.</div>
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<a name="addSamplePoint(double, double[]...)">
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<h4>addSamplePoint</h4>
<pre>public&nbsp;void&nbsp;addSamplePoint(double&nbsp;x,
                  double[]...&nbsp;value)
                    throws <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></pre>
<div class="block">Add a sample point.
 <p>
 This method must be called once for each sample point. It is allowed to
 mix some calls with values only with calls with values and first
 derivatives.
 </p>
 <p>
 The point abscissae for all calls <em>must</em> be different.
 </p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - abscissa of the sample point</dd><dd><code>value</code> - value and derivatives of the sample point
 (if only one row is passed, it is the value, if two rows are
 passed the first one is the value and the second the derivative
 and so on)</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code> - if the abscissa difference between added point
 and a previous point is zero (i.e. the two points are at same abscissa)</dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MathArithmeticException.html" title="class in org.apache.commons.math3.exception">MathArithmeticException</a></code> - if the number of derivatives is larger
 than 20, which prevents computation of a factorial</dd></dl>
</li>
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<a name="getPolynomials()">
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<h4>getPolynomials</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html" title="class in org.apache.commons.math3.analysis.polynomials">PolynomialFunction</a>[]&nbsp;getPolynomials()
                                    throws <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></pre>
<div class="block">Compute the interpolation polynomials.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>interpolation polynomials array</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if sample is empty</dd></dl>
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<a name="value(double)">
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<h4>value</h4>
<pre>public&nbsp;double[]&nbsp;value(double&nbsp;x)
               throws <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></pre>
<div class="block">Interpolate value at a specified abscissa.
 <p>
 Calling this method is equivalent to call the <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html#value(double)"><code>value</code></a> methods of all polynomials returned by <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#getPolynomials()"><code>getPolynomials</code></a>,
 except it does not build the intermediate polynomials, so this method is faster and
 numerically more stable.
 </p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/analysis/UnivariateVectorFunction.html#value(double)">value</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/analysis/UnivariateVectorFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateVectorFunction</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - interpolation abscissa</dd>
<dt><span class="strong">Returns:</span></dt><dd>interpolated value</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if sample is empty</dd></dl>
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<h4>value</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>[]&nbsp;value(<a href="../../../../../../org/apache/commons/math3/analysis/differentiation/DerivativeStructure.html" title="class in org.apache.commons.math3.analysis.differentiation">DerivativeStructure</a>&nbsp;x)
                            throws <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></pre>
<div class="block">Interpolate value at a specified abscissa.
 <p>
 Calling this method is equivalent to call the <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.html#value(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)"><code>value</code></a> methods of all polynomials
 returned by <a href="../../../../../../org/apache/commons/math3/analysis/interpolation/HermiteInterpolator.html#getPolynomials()"><code>getPolynomials</code></a>, except it does not build the
 intermediate polynomials, so this method is faster and numerically more stable.
 </p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableVectorFunction.html#value(org.apache.commons.math3.analysis.differentiation.DerivativeStructure)">value</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/analysis/differentiation/UnivariateDifferentiableVectorFunction.html" title="interface in org.apache.commons.math3.analysis.differentiation">UnivariateDifferentiableVectorFunction</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - interpolation abscissa</dd>
<dt><span class="strong">Returns:</span></dt><dd>interpolated value</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code> - if sample is empty</dd></dl>
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